Edit Profile Davidson, Fordyce A. Compute Distance To: Compute Author ID: davidson.fordyce-a Published as: Davidson, F.; Davidson, F. A.; Davidson, Fordyce A. External Links: ORCID · dblp Documents Indexed: 65 Publications since 1976 all top 5 Co-Authors 3 single-authored 27 Chaplain, Mark A. J. 26 Xu, Rui 8 Rynne, Bryan P. 6 Dodds, Niall 5 Ritz, Karl 4 Boswell, Graeme P. 4 Liu, Junli 3 Alzahrani, Ebraheem O. 3 Crawford, John W. 3 Gadd, Geoffrey M. 3 Jacobs, Helen 3 Sleeman, Brian D. 2 Gourley, Stephen A. 2 Rayner, A. D. M. 2 Stoleriu, Iulian 1 Alfaro, Miguel 1 Anderson, Alexander R. A. 1 Apreutesei, Narcisa C. 1 Brown, Kenneth J. 1 Jaffar, M. Z. A. M. 1 Kobine, J. J. 1 Li, Longxing 1 Park, Andrew William 1 Savory, Andrew I. M. 1 Smith, Malcolm J. 1 Volpert, Vitaly A. 1 Wallace, H. A. all top 5 Serials 12 Applied Mathematics and Computation 9 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Biology 4 Mathematical and Computer Modelling 3 Mathematical Modelling of Natural Phenomena 2 Applicable Analysis 2 IMA Journal of Applied Mathematics 2 Bulletin of Mathematical Biology 2 Applied Mathematics Letters 2 Electronic Journal of Differential Equations (EJDE) 2 Nonlinear Analysis. Real World Applications 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Engineering Mathematics 1 Chaos, Solitons and Fractals 1 Kyungpook Mathematical Journal 1 Mathematische Nachrichten 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Methods and Applications of Analysis 1 Communications in Applied Analysis 1 Differential Equations and Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Nonlinear Functional Analysis and Applications 1 Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Advances in Difference Equations 1 Journal of Theoretical Biology 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 47 Biology and other natural sciences (92-XX) 35 Ordinary differential equations (34-XX) 19 Partial differential equations (35-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Difference and functional equations (39-XX) 4 Operator theory (47-XX) 4 Numerical analysis (65-XX) 1 Integral equations (45-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 53 Publications have been cited 509 times in 423 Documents Cited by ▼ Year ▼ Global bifurcation in the Brusselator system. Zbl 0829.35010Brown, K. J.; Davidson, F. A. 38 1995 Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments. Zbl 1066.92059Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 34 2004 Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation. Zbl 0988.35082Gourley, S. A.; Chaplain, M. A. J.; Davidson, F. A. 32 2001 A priori bounds and global existence of solutions of the steady-state Sel’kov model. Zbl 0960.35026Davidson, F. A.; Rynne, B. P. 31 2000 Persistence and global stability of a ratio-dependent predator-prey model with stage structure. Zbl 1058.92053Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 27 2004 Global stability of a Lotka–Volterra type predator–prey model with stage structure and time delay. Zbl 1056.92063Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 24 2004 Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays. Zbl 1048.34119Xu, R.; Chaplain, M. A. J.; Davidson, F. A. 24 2004 Periodic solutions for a predator-prey model with Holling-type functional response and time delays. Zbl 1064.34053Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 21 2005 Eigenfunction expansions in \(L^{2}\) spaces for boundary value problems on time-scales. Zbl 1125.34069Davidson, Fordyce A.; Rynne, Bryan P. 20 2007 Travelling wave and convergence in stage-structured reaction-diffusion competitive models with nonlocal delays. Zbl 1142.35477Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 15 2006 Permanence and periodicity of a delayed ratio-dependent predator–prey model with stage structure. Zbl 1073.34090Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 14 2005 Periodic solution for a three-species Lotka-Volterra food-chain model with time delays. Zbl 1067.92063Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 14 2004 Persistence and stability of a stage-structured predator-prey model with time delays. Zbl 1064.92049Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 14 2004 Global bifurcation on time scales. Zbl 0998.34024Davidson, Fordyce A.; Rynne, Bryan P. 14 2002 The effects of temporal delays in a model for a food-limited, diffusing population. Zbl 0992.35047Davidson, F. A.; Gourley, S. A. 12 2001 A positive numerical scheme for a mixed-type partial differential equation model for fungal growth. Zbl 1027.65125Boswell, Graeme P.; Jacobs, Helen; Davidson, Fordyce A.; Gadd, Geoffrey M.; Ritz, Karl 10 2003 Global stability of the attracting set of an enzyme-catalysed reaction system. Zbl 1022.92011Davidson, F. A.; Liu, Junli 10 2002 Travelling waves in near-degenerate bistable competition models. Zbl 1202.35019Alzahrani, E. O.; Davidson, F. A.; Dodds, N. 9 2010 Quasi-steady state assumptions for non-isolated enzyme-catalysed reactions. Zbl 1050.92025Stoleriu, I.; Davidson, F. A.; Liu, J. L. 9 2004 Existence and uniqueness of limit cycles in an enzyme-catalysed reaction system. Zbl 1048.34085Davidson, F. A.; Xu, R.; Liu, J. 9 2002 Global convergence of a reaction-diffusion predator-prey model with stage structure and nonlocal delays. Zbl 1130.35349Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 8 2007 A Lotka–Volterra type food chain model with stage structure and time delays. Zbl 1096.34055Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 8 2006 Growth and function of fungal mycelia in heterogeneous environments. Zbl 1334.92253Boswell, Graeme P.; Jacobs, Helen; Davidson, Fordyce A.; Gadd, Geoffrey M.; Ritz, Karl 8 2003 Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays. Zbl 1116.92072Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 7 2004 Persistence and stability for a two-species ratio-dependent predator-prey system with distributed time delay. Zbl 1008.34065Xu, R.; Davidson, F. A.; Chaplain, M. A. J. 7 2002 Existence of positive solutions due to non-local interactions in a class of nonlinear boundary value problems. Zbl 1149.35366Davidson, Fordyce A.; Dodds, Niall 6 2007 Reversing invasion in bistable systems. Zbl 1257.35025Alzahrani, Ebraheem O.; Davidson, Fordyce A.; Dodds, Niall 5 2012 The development of fungal networks in complex environments. Zbl 1139.92316Boswell, Graeme P.; Jacobs, Helen; Ritz, Karl; Gadd, Geoffrey M.; Davidson, Fordyce A. 5 2007 Spectral properties of non-local uniformly-elliptic operators. Zbl 1115.35090Davidson, Fordyce A.; Dodds, Niall 5 2006 Effects of periodic input on the quasi-steady state assumptions for enzyme-catalysed reactions. Zbl 1083.92017Stoleriu, I.; Davidson, F. A.; Liu, J. L. 5 2005 Curves of positive solutions of boundary value problems on time-scales. Zbl 1077.34022Davidson, Fordyce A.; Rynne, Bryan P. 5 2004 Steady-state solutions of a generic model for the formation of capillary networks. Zbl 0964.92023Davidson, F. A.; Anderson, A. R. A.; Chaplain, M. A. J. 5 2000 Chaotic wakes and other wave-induced behavior in a system of reaction-diffusion equations. Zbl 0935.35068Davidson, F. A. 5 1998 Self-adjoint boundary-value problems on time-scales. Zbl 1138.34004Davidson, Fordyce A.; Rynne, Bryan P. 4 2007 Spectral properties of non-local differential operators. Zbl 1108.34062Davidson, Fordyce A.; Dodds, Niall 4 2006 Global stability of a stage-structured predator-prey model with prey dispersal. Zbl 1080.92069Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 4 2005 Periodic solutions of a predator–prey model with stage structure for predator. Zbl 1048.92035Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 4 2004 Travelling waves and pattern formation in a model for fungal development. Zbl 0880.92007Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K. 4 1997 Modelling and analysis of a competitive model with stage structure. Zbl 1066.92058Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 3 2005 Persistence and periodicity of a delayed ratio-dependent predator–prey model with stage structure and prey dispersal. Zbl 1056.92062Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 3 2004 Global asymptotic stability in a nonautonomous \(n\)-species Lotka-Volterra predator-prey system with infinite delays. Zbl 1034.34092Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 3 2001 Large-scale behavior of fungal mycelia. Zbl 0876.92008Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K. 3 1996 Preface to the issue nonlocal reaction-diffusion equations. Zbl 1337.92165Alfaro, M. (ed.); Apreutesei, N. (ed.); Davidson, F. (ed.); Volpert, V. (ed.) 2 2015 A 3-species competition model for bio-control. Zbl 1245.93098Alzahrani, Ebraheem O.; Davidson, Fordyce A.; Dodds, Niall 2 2012 The formulation of second-order boundary value problems on time scales. Zbl 1139.39026Davidson, Fordyce A.; Rynne, Bryan P. 2 2006 Periodic solutions of a delayed predator-prey model with stage structure for predator. Zbl 1086.34058Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 2 2004 Asymptotic oscillations of continua of positive solutions of a semilinear Sturm-Liouville problem. Zbl 0974.34023Davidson, F. A.; Rynne, B. P. 2 2000 A mathematical model for fungal development in heterogeneous environments. Zbl 0945.92024Davidson, F. A.; Park, A. W. 2 1998 The effect of cell death on the stability of a growing biofilm. Zbl 1384.92044Wallace, H. A.; Li, L.; Davidson, F. A. 1 2016 Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator. Zbl 1124.65068Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 1 2006 Periodic solutions of a discrete time three-species Lotka-Volterra food-chain system. Zbl 1076.39011Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 1 2004 Global secondary bifurcation in a nonlinear boundary value problem. Zbl 0949.34014Davidson, F. A. 1 1999 Travelling waves in a reaction-diffusion system modelling fungal mycelia. Zbl 0885.92038Davidson, F. A.; Sleeman, B. D.; Crawford, J. W. 1 1997 The effect of cell death on the stability of a growing biofilm. Zbl 1384.92044Wallace, H. A.; Li, L.; Davidson, F. A. 1 2016 Preface to the issue nonlocal reaction-diffusion equations. Zbl 1337.92165Alfaro, M. (ed.); Apreutesei, N. (ed.); Davidson, F. (ed.); Volpert, V. (ed.) 2 2015 Reversing invasion in bistable systems. Zbl 1257.35025Alzahrani, Ebraheem O.; Davidson, Fordyce A.; Dodds, Niall 5 2012 A 3-species competition model for bio-control. Zbl 1245.93098Alzahrani, Ebraheem O.; Davidson, Fordyce A.; Dodds, Niall 2 2012 Travelling waves in near-degenerate bistable competition models. Zbl 1202.35019Alzahrani, E. O.; Davidson, F. A.; Dodds, N. 9 2010 Eigenfunction expansions in \(L^{2}\) spaces for boundary value problems on time-scales. Zbl 1125.34069Davidson, Fordyce A.; Rynne, Bryan P. 20 2007 Global convergence of a reaction-diffusion predator-prey model with stage structure and nonlocal delays. Zbl 1130.35349Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 8 2007 Existence of positive solutions due to non-local interactions in a class of nonlinear boundary value problems. Zbl 1149.35366Davidson, Fordyce A.; Dodds, Niall 6 2007 The development of fungal networks in complex environments. Zbl 1139.92316Boswell, Graeme P.; Jacobs, Helen; Ritz, Karl; Gadd, Geoffrey M.; Davidson, Fordyce A. 5 2007 Self-adjoint boundary-value problems on time-scales. Zbl 1138.34004Davidson, Fordyce A.; Rynne, Bryan P. 4 2007 Travelling wave and convergence in stage-structured reaction-diffusion competitive models with nonlocal delays. Zbl 1142.35477Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 15 2006 A Lotka–Volterra type food chain model with stage structure and time delays. Zbl 1096.34055Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 8 2006 Spectral properties of non-local uniformly-elliptic operators. Zbl 1115.35090Davidson, Fordyce A.; Dodds, Niall 5 2006 Spectral properties of non-local differential operators. Zbl 1108.34062Davidson, Fordyce A.; Dodds, Niall 4 2006 The formulation of second-order boundary value problems on time scales. Zbl 1139.39026Davidson, Fordyce A.; Rynne, Bryan P. 2 2006 Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator. Zbl 1124.65068Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 1 2006 Periodic solutions for a predator-prey model with Holling-type functional response and time delays. Zbl 1064.34053Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 21 2005 Permanence and periodicity of a delayed ratio-dependent predator–prey model with stage structure. Zbl 1073.34090Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 14 2005 Effects of periodic input on the quasi-steady state assumptions for enzyme-catalysed reactions. Zbl 1083.92017Stoleriu, I.; Davidson, F. A.; Liu, J. L. 5 2005 Global stability of a stage-structured predator-prey model with prey dispersal. Zbl 1080.92069Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 4 2005 Modelling and analysis of a competitive model with stage structure. Zbl 1066.92058Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 3 2005 Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments. Zbl 1066.92059Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 34 2004 Persistence and global stability of a ratio-dependent predator-prey model with stage structure. Zbl 1058.92053Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 27 2004 Global stability of a Lotka–Volterra type predator–prey model with stage structure and time delay. Zbl 1056.92063Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 24 2004 Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays. Zbl 1048.34119Xu, R.; Chaplain, M. A. J.; Davidson, F. A. 24 2004 Periodic solution for a three-species Lotka-Volterra food-chain model with time delays. Zbl 1067.92063Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 14 2004 Persistence and stability of a stage-structured predator-prey model with time delays. Zbl 1064.92049Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 14 2004 Quasi-steady state assumptions for non-isolated enzyme-catalysed reactions. Zbl 1050.92025Stoleriu, I.; Davidson, F. A.; Liu, J. L. 9 2004 Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays. Zbl 1116.92072Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 7 2004 Curves of positive solutions of boundary value problems on time-scales. Zbl 1077.34022Davidson, Fordyce A.; Rynne, Bryan P. 5 2004 Periodic solutions of a predator–prey model with stage structure for predator. Zbl 1048.92035Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 4 2004 Persistence and periodicity of a delayed ratio-dependent predator–prey model with stage structure and prey dispersal. Zbl 1056.92062Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 3 2004 Periodic solutions of a delayed predator-prey model with stage structure for predator. Zbl 1086.34058Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 2 2004 Periodic solutions of a discrete time three-species Lotka-Volterra food-chain system. Zbl 1076.39011Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 1 2004 A positive numerical scheme for a mixed-type partial differential equation model for fungal growth. Zbl 1027.65125Boswell, Graeme P.; Jacobs, Helen; Davidson, Fordyce A.; Gadd, Geoffrey M.; Ritz, Karl 10 2003 Growth and function of fungal mycelia in heterogeneous environments. Zbl 1334.92253Boswell, Graeme P.; Jacobs, Helen; Davidson, Fordyce A.; Gadd, Geoffrey M.; Ritz, Karl 8 2003 Global bifurcation on time scales. Zbl 0998.34024Davidson, Fordyce A.; Rynne, Bryan P. 14 2002 Global stability of the attracting set of an enzyme-catalysed reaction system. Zbl 1022.92011Davidson, F. A.; Liu, Junli 10 2002 Existence and uniqueness of limit cycles in an enzyme-catalysed reaction system. Zbl 1048.34085Davidson, F. A.; Xu, R.; Liu, J. 9 2002 Persistence and stability for a two-species ratio-dependent predator-prey system with distributed time delay. Zbl 1008.34065Xu, R.; Davidson, F. A.; Chaplain, M. A. J. 7 2002 Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation. Zbl 0988.35082Gourley, S. A.; Chaplain, M. A. J.; Davidson, F. A. 32 2001 The effects of temporal delays in a model for a food-limited, diffusing population. Zbl 0992.35047Davidson, F. A.; Gourley, S. A. 12 2001 Global asymptotic stability in a nonautonomous \(n\)-species Lotka-Volterra predator-prey system with infinite delays. Zbl 1034.34092Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 3 2001 A priori bounds and global existence of solutions of the steady-state Sel’kov model. Zbl 0960.35026Davidson, F. A.; Rynne, B. P. 31 2000 Steady-state solutions of a generic model for the formation of capillary networks. Zbl 0964.92023Davidson, F. A.; Anderson, A. R. A.; Chaplain, M. A. J. 5 2000 Asymptotic oscillations of continua of positive solutions of a semilinear Sturm-Liouville problem. Zbl 0974.34023Davidson, F. A.; Rynne, B. P. 2 2000 Global secondary bifurcation in a nonlinear boundary value problem. Zbl 0949.34014Davidson, F. A. 1 1999 Chaotic wakes and other wave-induced behavior in a system of reaction-diffusion equations. Zbl 0935.35068Davidson, F. A. 5 1998 A mathematical model for fungal development in heterogeneous environments. Zbl 0945.92024Davidson, F. A.; Park, A. W. 2 1998 Travelling waves and pattern formation in a model for fungal development. Zbl 0880.92007Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K. 4 1997 Travelling waves in a reaction-diffusion system modelling fungal mycelia. Zbl 0885.92038Davidson, F. A.; Sleeman, B. D.; Crawford, J. W. 1 1997 Large-scale behavior of fungal mycelia. Zbl 0876.92008Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K. 3 1996 Global bifurcation in the Brusselator system. Zbl 0829.35010Brown, K. J.; Davidson, F. A. 38 1995 all cited Publications top 5 cited Publications all top 5 Cited by 626 Authors 18 Davidson, Fordyce A. 14 Chen, Fengde 12 Wang, Mingxin 10 Chen, Lansun 10 Xu, Changjin 9 Xu, Rui 8 Shi, Junping 7 Li, Wan-Tong 7 Peng, Rui 7 Volpert, Vitaly A. 7 Wei, Junjie 7 Zhang, Qingling 7 Zhou, Jun 6 Li, Yongkun 6 Li, Zhong 6 Teng, Zhi-dong 6 Wu, Jianhua 5 Chaplain, Mark A. J. 5 Dai, Binxiang 5 Feng, Zhaosheng 5 Liu, Chao 5 Shao, Yuanfu 5 Song, Yongli 5 Wang, Zhi Cheng 5 Xie, Xiangdong 4 Boswell, Graeme P. 4 Ding, Xiaoquan 4 Huang, Lihong 4 Liao, Maoxin 4 Liu, Junli 4 Macías-Díaz, Jorge Eduardo 4 Ruan, Shigui 4 Rynne, Bryan P. 4 Su, Youhui 4 Zhao, Hongyong 4 Zhou, Jianwen 3 Banerjee, Sandip 3 Cai, Liming 3 Chen, Wenyan 3 Dodds, Niall 3 Gan, Qintao 3 Han, Bang-Sheng 3 Huo, Hai-Feng 3 Jia, Yunfeng 3 Liu, Shengqiang 3 Liu, Zhijun 3 Luo, Hua 3 Malchow, Horst 3 Mu, Chunlai 3 Pelen, Neslihan Nesliye 3 Sherratt, Jonathan A. 3 Song, Xinyu 3 Su, Juan 3 Wan, Aying 3 Wang, Jinfeng 3 Wang, Ke 3 Wei, Fengying 3 Zeng, Xianzhong 3 Zhang, Xue 3 Zhao, Min 3 Zou, Xingfu 2 Agarwal, Ravi P. 2 Alam, Shariful 2 Alzahrani, Ebraheem O. 2 Amster, Pablo 2 Banerjee, Malay 2 Bayliss, Alvin 2 Bie, Qunyi 2 Chakraborty, Kunal 2 Chakraborty, Milon 2 Chen, Shanshan 2 Chen, Wencheng 2 Crawford, John W. 2 de Nápoli, Pablo Luis 2 Ding, Wei 2 Ding, Xiaohua 2 Du, Bo 2 Du, Huan 2 Duan, Xiaodong 2 Dzwinel, Witold 2 Eckhardt, Jonathan 2 Faria, Teresa 2 Fu, Shengmao 2 Gao, Yang 2 Guo, Gaihui 2 Guo, Hongjian 2 Güvenilir, Ayşe Feza 2 Han, Maoan 2 He, Xiaofei 2 Huang, Canyun 2 Huang, Chuangxia 2 Huseynov, Adil 2 Kar, Tapan Kumar 2 Kaymakçalan, Billur 2 Kouche, Mahiéddine 2 Kumari, Nitu 2 Li, Bo 2 Li, Peiluan 2 Li, Xuezhi 2 Li, Yi ...and 526 more Authors all top 5 Cited in 106 Serials 43 Applied Mathematics and Computation 30 Nonlinear Analysis. Real World Applications 21 Advances in Difference Equations 17 Journal of Mathematical Analysis and Applications 16 Discrete Dynamics in Nature and Society 14 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Abstract and Applied Analysis 11 Chaos, Solitons and Fractals 11 Journal of Differential Equations 11 Nonlinear Dynamics 11 Journal of Theoretical Biology 10 Applied Mathematical Modelling 10 International Journal of Biomathematics 9 Mathematical and Computer Modelling 8 Computers & Mathematics with Applications 8 Journal of Computational and Applied Mathematics 7 Journal of Mathematical Biology 7 Applied Mathematics Letters 6 Journal of Mathematical Chemistry 5 Mathematics and Computers in Simulation 5 Communications in Nonlinear Science and Numerical Simulation 5 Discrete and Continuous Dynamical Systems. Series B 5 Journal of Applied Mathematics 5 Journal of Applied Mathematics and Computing 4 Mathematical Methods in the Applied Sciences 4 Bulletin of Mathematical Biology 4 Journal of Difference Equations and Applications 3 Applicable Analysis 3 Mathematical Biosciences 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Nonlinear Science 3 Discrete and Continuous Dynamical Systems 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Mathematical Biosciences and Engineering 3 Journal of Biological Dynamics 2 International Journal of Control 2 Journal of the Franklin Institute 2 Theoretical Population Biology 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Applicandae Mathematicae 2 Physica D 2 Applications of Mathematics 2 SIAM Journal on Applied Mathematics 2 Journal of Dynamics and Differential Equations 2 Nonlinear Analysis. Modelling and Control 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Boundary Value Problems 2 Mathematical Modelling of Natural Phenomena 2 Afrika Matematika 2 Journal of Mathematics 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Nonlinearity 1 Physica A 1 Reports on Mathematical Physics 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the Korean Mathematical Society 1 Monatshefte für Mathematik 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Transactions of the American Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 Science in China. Series A 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Japan Journal of Industrial and Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Inverse and Ill-Posed Problems 1 ACM Transactions on Modeling and Computer Simulation 1 Mathematical Problems in Engineering 1 Journal of Inequalities and Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Acta Mathematica Sinica. English Series 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Journal of Biological Systems 1 Qualitative Theory of Dynamical Systems 1 The ANZIAM Journal 1 Dynamical Systems 1 Journal of Systems Science and Complexity 1 Advances in Complex Systems 1 Communications on Pure and Applied Analysis 1 Analysis and Applications (Singapore) 1 International Journal of Computational Methods 1 Nonlinear Oscillations 1 Journal of Fixed Point Theory and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Nonlinear Science and Applications 1 São Paulo Journal of Mathematical Sciences 1 International Journal of Differential Equations 1 Science China. Mathematics 1 Symmetry ...and 6 more Serials all top 5 Cited in 24 Fields 313 Biology and other natural sciences (92-XX) 214 Ordinary differential equations (34-XX) 162 Partial differential equations (35-XX) 59 Dynamical systems and ergodic theory (37-XX) 28 Operator theory (47-XX) 23 Numerical analysis (65-XX) 18 Systems theory; control (93-XX) 17 Difference and functional equations (39-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Integral equations (45-XX) 4 Functional analysis (46-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Real functions (26-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year